Proceedings of the American Mathematical Society

Author(s): Don Hadwin; Terry A. Loring
Journal: Proc. Amer. Math. Soc. 125 (1997), 159-161.
MSC (1991): Primary 46L80, 47A58; Secondary 46L05, 47C15
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Abstract: The second author constructed a separable direct limit $C^*$

-algebra with real rank zero containing a normal element whose spectrum is the closed unit disk that is not the limit of normal elements in the limiting algebras, and is not a limit of normals in the algebra having finite spectrum. We use Fredholm index theory to modify and simplify this construction to obtain such examples that are not limits of any ``nice'' types of elements.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46L80, 47A58, 46L05, 47C15

Don Hadwin
Affiliation: Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824
Email: don@math.unh.edu

Terry A. Loring
Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
Email: loring@deepthought.unm.edu

DOI: 10.1090/S0002-9939-97-03734-9
PII: S 0002-9939(97)03734-9
Received by editor(s): July 3, 1995
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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